M305483 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	unknown	50000	50000	0.0005	14.9939%	0.0005	14.9939%	14.9939%
PrimeNet	2⁴⁰	0.0000	52.5000%	3200	90000	0.0001	15.6055%	0.0001	59.9126%	7.4126%
GPU72	2⁴⁴	0.0000	56.8182%	5500	150000	0.0001	11.4219%	0.0001	61.7504%	4.9322%
Difference	-44	0.0000	-56.8182%	+44500	-100000	+0.0004	+3.5719%	+0.0004	-46.7565%	-46.7565%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

50000

0.0005

14.9939%

0.0005

14.9939%

PrimeNet

2⁴⁰

0.0000

52.5000%

3200

90000

0.0001

15.6055%

0.0001

59.9126%

7.4126%

GPU72

2⁴⁴

0.0000

56.8182%

5500

150000

0.0001

11.4219%

0.0001

61.7504%

4.9322%

Difference

-44

0.0000

-56.8182%

+44500

-100000

+0.0004

+3.5719%

+0.0004

-46.7565%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
305483	7942559	7	22.921	13 13	-	1	13	1.834e-12	1.705e-8	2.098e-8
305483	3879551250735679959161189868050447	34	111.580	6349864396276846762604121781 29 × 68677745113 × 3188235736200353	2021-09-05	68677745113	3188235736200353	5.404e+11	1,791,750	3,345,239

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

305483

7942559

22.921

13
13

1.834e-12

1.705e-8

2.098e-8

305483

3879551250735679959161189868050447

111.580

6349864396276846762604121781
29 × 68677745113 × 3188235736200353

2021-09-05

68677745113

3188235736200353

5.404e+11

1,791,750

3,345,239

exponent	prime factors	composite factor	digits	bits*
305483	7942559 3879551250735679959161189868050447	30813564702491931480755341037192890273873	41	134.501

exponent

prime factors

composite factor

digits

bits*

305483

7942559
3879551250735679959161189868050447

30813564702491931480755341037192890273873

134.501

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2022-02-06T16:51:36	Lisander Viaene	Manual testing	50000	50000		-	skipped known factor: 7942559	-	-	0.001	-	-	9.781%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2022-02-06T16:51:36

Lisander Viaene

Manual testing

50000

skipped known factor: 7942559

0.001

-

-

9.781%

ECM factoring results:

Old Calculation Method

Total ECM effort:	16.651 GHz-days
Estimated T-Level:	27.688

Digits	B1	Curves	Complete	FacMiss
20	11000	625 / 100	6.250	0.187%
25	50000	625 / 280	2.232	10.687%
30	250000	344 / 640	0.538	58.396%

New Calculation Method

Total ECM effort:	16.651 GHz-days
Estimated T-Level:	27.688

Digits	B1	Complete	FacMiss
20	11000	37.731	0.000%
25	50000	5.186	0.560%
30	250000	0.523	59.249%
35	1000000	0.042	95.902%
40	3000000	0.003	99.726%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	2.145
250000	25000000		144	5.495
250000	38500000		53	2.388
250000	38500000	3879551250735679959161189868050447	147	6.624

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-01-05T13:35:00	Richard B. Woods	Puttputt	50000	5000000						10	0.076
2014-09-19T12:43:00	TJAOI	Manual testing	50000	5000000						40	0.305
2015-03-06T11:38:00	TJAOI	Manual testing	50000	5000000						50	0.382
2015-10-23T13:46:26	TJAOI	Manual testing	50000	5000000						90	0.687
2016-03-24T20:21:25	TJAOI	Manual testing	50000	5000000						91	0.695
2017-09-15T15:40:01	TJAOI	Manual testing	250000	25000000						44	1.679
2019-04-05T11:26:19	TJAOI	Manual testing	250000	25000000						100	3.816
2021-09-05T02:22:36	nordi	sweet16	250000	38500000	3879551250735679959161189868050447	111.580	147	2	7641881865501293	147	6.624
2021-09-06T19:32:01	nordi	sweet16	250000	38500000						53	2.388

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-22T15:36:03

Oliver Kruse

Ollaptop

7942559

D3E1FE9ED1FE0F__

2017-09-22T20:37:24

Oliver Kruse

Manual testing

7942559

D3E1FE9ED1FE0F__

2017-10-12T22:29:03

Oliver Kruse

GTX-0

D3E1FE9ED1FE0F__

2017-12-11T08:27:52

ATH

xps

7942559

D3E1FE9ED1FE0F__

2020-04-18T07:19:37

Oliver Kruse

AddPrpType5

7942559

53C19636E4327B__

2021-09-05T04:12:29

mikr

Nitron

7942559

3879551250735679959161189868050447

53C19636E4327BB3

2021-09-05T05:04:33

H Michaelson

7942559

3879551250735679959161189868050447

53C19636E4327BB3

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 50000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront